First, find slope of point A and B using slope formula:
<u>y2-y1</u> = <u>7-0 </u>= <u>-7</u>
x2-x1 3-8 5
Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=<u>-7</u>(x-3) (I used point B here)
5
y=<u>-7x</u> +<u>56</u> so the y-intercept is <u>56</u>. Hurray! Part 1 down!
<span> 5 5 5
Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
</span>y-y1=m(x-x1)
y-5=<u>-7</u>(x-5)
<span> 5
</span>y=<u>-7x</u> + 12 Yay! That's the answer to part 2; the equation of line CD
<span> 5</span>
Find out how much Alex earned in 35 hours first.
1 hour = $12.50
35 hours = $12.50 x 35 = $437.50
Since ‘time and a half’ pays 1.5 times more than their usual pay, find out how much Alex earned per hour at ‘time and a half’
1 hour = 12.50 x 1.5 = $18.75
5 hours = 18.75 x 5 = $93.75
$437.50 + $93.75 = $531.25
Alex would have earned $531.25 for the week.
The first point is on the 10 minute line in between 4 and 6 kilometer line
The second point is on the 15 minute in between the 10 and 12 kilometers line
The third point is on the 20 minute line and 18 kilometer line
The new length and width is 48in and 40in respectively
<h3>Dilation</h3>
Given the following information
- Width = 25in
- Length = 40in
If the length and the width are dilated by a factor of 1.2, the new length and width is expressed as;
W = 25(1.2) = 30in
L = 40(1.2)
L = 48 in
Hence the new length and width is 48in and 40in respectively
Learn more on dilation here: brainly.com/question/10253650
50 50 because there is 3 blue pens and 3 red plans after the 4th blue one was taken out
Mark brainliest
